Point M is the midpoint of AB. The coordinates of point A are (-6, 1) and the coordinates of M are (-3,2). What are the coordinates of point B?
The coordinates of point B are

Let B(a,b) be x1, y1

A(-6,1) be x2,y2

midpoint M(-3,2) be (x,y)

using midpoint formula

(x,y)= [(x1+x2)/2, (y1+y2)/2)

(-3,2) = [(a-6)/2, (b+1)/2}

comparing corresponding value

-3 = (a-6)/2                           (b+1)/2 = 2

-6= a-6                                  b+1=4

a=0                                         b=3

coordinates of B = (0,3)

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)